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21212023232120 = 23571811496927961
BaseRepresentation
bin1001101001010110011110…
…00111000001011001111000
32210002211221101000002110112
410310223033013001121320
510240014210421411440
6113040400254203452
74316342465351540
oct464531707013170
983084841002415
1021212023232120
116838a721333a6
1224670477b3588
13bab3927a8876
1453494b4d0320
1526bb90380965
hex134acf1c1678

21212023232120 has 128 divisors (see below), whose sum is σ = 54852182985600. Its totient is φ = 7231771238400.

The previous prime is 21212023232117. The next prime is 21212023232167. The reversal of 21212023232120 is 2123232021212.

It is a happy number.

It is a super-2 number, since 2×212120232321202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 758614940 + ... + 758642900.

It is an arithmetic number, because the mean of its divisors is an integer number (428532679575).

Almost surely, 221212023232120 is an apocalyptic number.

21212023232120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21212023232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27426091492800).

21212023232120 is an abundant number, since it is smaller than the sum of its proper divisors (33640159753480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21212023232120 is a wasteful number, since it uses less digits than its factorization.

21212023232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43129 (or 43125 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 21212023232120 its reverse (2123232021212), we get a palindrome (23335255253332).

The spelling of 21212023232120 in words is "twenty-one trillion, two hundred twelve billion, twenty-three million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 181 280 362 724 905 1267 1448 1810 2534 3620 5068 6335 7240 10136 12670 14969 25340 27961 29938 50680 55922 59876 74845 104783 111844 119752 139805 149690 195727 209566 223688 279610 299380 391454 419132 523915 559220 598760 782908 838264 978635 1047830 1118440 1565816 1957270 2095660 2709389 3914540 4191320 5060941 5418778 7829080 10121882 10837556 13546945 18965723 20243764 21675112 25304705 27093890 35426587 37931446 40487528 50609410 54187780 70853174 75862892 94828615 101218820 108375560 141706348 151725784 177132935 189657230 202437640 283412696 354265870 379314460 418548209 708531740 758628920 837096418 1417063480 1674192836 2092741045 2929837463 3348385672 4185482090 5859674926 8370964180 11719349852 14649187315 16741928360 23438699704 29298374630 58596749260 75757225829 117193498520 151514451658 303028903316 378786129145 530300580803 606057806632 757572258290 1060601161606 1515144516580 2121202323212 2651502904015 3030289033160 4242404646424 5303005808030 10606011616060 21212023232120